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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 887 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.Which is smaller: −7/8 or −4/9? (a) −7/8 (b) −4/9
  2. 2.What is the reciprocal (multiplicative inverse) of 1/8? (a) −1/8 (b) 1/8 (c) 8 (d) −8
  3. 3.What is the additive inverse of 4/7? (a) −7/4 (b) 7/4 (c) −4/7 (d) 4/7
  4. 4.Is 9/(−6) positive or negative? (a) Negative (b) Positive
  5. 5.What is the reciprocal (multiplicative inverse) of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  6. 6.What is 1/3 + (−2/5)? (a) −1/8 (b) 1/15 (c) −1/15 (d) 11/15
  7. 7.Which is bigger: −6/7 or 2/5? (a) −6/7 (b) 2/5
  8. 8.Write −6/10 in standard form (lowest terms, positive denominator). (a) 3/5 (b) −5/3 (c) −6/10 (d) −3/5
  9. 9.Write −25/40 in standard form (lowest terms, positive denominator). (a) −5/8 (b) 5/8 (c) −25/40 (d) −8/5
  10. 10.What is (−5/6) + 1/9? (a) −17/18 (b) 13/18 (c) −4/15 (d) −13/18
  11. 11.Write 40/(−45) in standard form (lowest terms, positive denominator). (a) 8/9 (b) −8/9 (c) −9/8 (d) −40/45
  12. 12.Write −18/42 in standard form (lowest terms, positive denominator). (a) 3/7 (b) −7/3 (c) −3/7 (d) −18/42
  13. 13.Which is smaller: −4/5 or −7/9? (a) −7/9 (b) −4/5
  14. 14.What is the reciprocal (multiplicative inverse) of −3/4? (a) −4/3 (b) 3/4 (c) 4/3 (d) −3/4
  15. 15.What is 3/5 − (−4/7)? (a) 1/35 (b) 7/12 (c) 41/35 (d) −41/35
  16. 16.Which is bigger: −1/5 or −1/7? (a) −1/5 (b) −1/7
  17. 17.What is (−1/2) + 3/8? (a) 1/8 (b) −7/8 (c) 1/5 (d) −1/8
  18. 18.What is (−5/7) + 1/2? (a) −4/9 (b) −3/14 (c) 3/14 (d) −17/14
  19. 19.What is (−1/2) + (−1/7)? (a) −9/14 (b) −2/9 (c) −5/14 (d) 9/14
  20. 20.Which is smaller: −2/7 or −1/5? (a) −1/5 (b) −2/7
  21. 21.What is (−1/5) − (−3/7)? (a) 1/6 (b) 8/35 (c) −22/35 (d) −8/35
  22. 22.Which is smaller: −7/8 or −4/5? (a) −7/8 (b) −4/5
  23. 23.Is 1/2 positive or negative? (a) Negative (b) Positive
  24. 24.What is (−3/7) + (−3/5)? (a) 36/35 (b) 6/35 (c) −1/2 (d) −36/35
  25. 25.What is 1/5 − (−3/8)? (a) −7/40 (b) 23/40 (c) 4/13 (d) −23/40
  26. 26.Write 6/(−42) in standard form (lowest terms, positive denominator). (a) −7/1 (b) −6/42 (c) −1/7 (d) 1/7
  27. 27.Is 8/3 positive or negative? (a) Positive (b) Negative
  28. 28.Is 2/6 positive or negative? (a) Negative (b) Positive
  29. 29.Write −2/18 in standard form (lowest terms, positive denominator). (a) −9/1 (b) 1/9 (c) −1/9 (d) −2/18
  30. 30.What is 1/9 + (−1/8)? (a) 0 (b) 1/72 (c) −1/72 (d) 17/72
  31. 31.What is (−1/2) + 6/7? (a) 5/14 (b) −5/14 (c) 5/9 (d) −19/14
  32. 32.What is (−5/7) + 3/4? (a) −1/28 (b) −41/28 (c) −2/11 (d) 1/28
  33. 33.What is 1/5 − (−5/7)? (a) 32/35 (b) −18/35 (c) −32/35 (d) 1/2
  34. 34.What is (−5/7) + (−5/7)? (a) 10/7 (b) 0 (c) −5/7 (d) −10/7
  35. 35.What is the additive inverse of 6/7? (a) 6/7 (b) −7/6 (c) 7/6 (d) −6/7
  36. 36.What is the additive inverse of 2/7? (a) 7/2 (b) −7/2 (c) 2/7 (d) −2/7
  37. 37.Write −8/14 in standard form (lowest terms, positive denominator). (a) −8/14 (b) −4/7 (c) −7/4 (d) 4/7
  38. 38.What is (−3/4) − 1/5? (a) −11/20 (b) 19/20 (c) −4/9 (d) −19/20
  39. 39.Is 3/7 positive or negative? (a) Negative (b) Positive
  40. 40.What is (−7/8) + 5/6? (a) −41/24 (b) −1/24 (c) −1/7 (d) 1/24

Answer key

  1. −7/8
  2. 8
  3. −4/7
  4. Negative
  5. 2
  6. −1/15
  7. 2/5
  8. −3/5
  9. −5/8
  10. −13/18
  11. −8/9
  12. −3/7
  13. −4/5
  14. −4/3
  15. 41/35
  16. −1/7
  17. −1/8
  18. −3/14
  19. −9/14
  20. −2/7
  21. 8/35
  22. −7/8
  23. Positive
  24. −36/35
  25. 23/40
  26. −1/7
  27. Positive
  28. Positive
  29. −1/9
  30. −1/72
  31. 5/14
  32. 1/28
  33. 32/35
  34. −10/7
  35. −6/7
  36. −2/7
  37. −4/7
  38. −19/20
  39. Positive
  40. −1/24

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